Abstract
AbstractOne difficulty associated with the hierarchical finite element method is that of accurately determining the integrals necessary to establish the stiffness and mass matrices of arbitrarily high order elements. This paper describes how such integrals can be calculated exactly using symbolic computing.Results are presented which permit the construction of high order hierarchical finite elements applicable to a variety of problems involving two‐dimensional elasticity, and plate and shell bending. Three‐dimensional solid or brick elements are not considered.
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